1792877472 has 72 divisors (see below), whose sum is σ = 5108673024. Its totient is φ = 596433024.

The previous prime is 1792877447. The next prime is 1792877473. The reversal of 1792877472 is 2747782971.

1792877472 is a `hidden beast` number, since 1 + 7 + 92 + 87 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1792877472² = 6428819259210221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1792877473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144673 + ... + 156575.

It is an arithmetic number, because the mean of its divisors is an integer number (70953792).

Almost surely, 2^1792877472 is an apocalyptic number.

1792877472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1792877472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554336512).

1792877472 is an abundant number, since it is smaller than the sum of its proper divisors (3315795552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1792877472 is a wasteful number, since it uses less digits than its factorization.

1792877472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442 (or 12431 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 54.

The square root of 1792877472 is about 42342.3838724274. The cubic root of 1792877472 is about 1214.8338095101.

The spelling of 1792877472 in words is "one billion, seven hundred ninety-two million, eight hundred seventy-seven thousand, four hundred seventy-two".